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Finding the Fourth Proportional to 1,241.27, 1,862.44 and 461.85

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Solution

The fourth proportional to 1,241.27, 1,862.44 and 461.85 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.27 : 1,862.44 = 461.85 : x
  2. Step 2: Convert to fraction form
    1,241.27/1,862.44 = 461.85/x
  3. Step 3: Cross multiply
    1,241.27x = 1,862.44 × 461.85
  4. Step 4: Simplify right side
    1,241.27x = 860,172.85
  5. Step 5: Solve for x
    x = 860,172.85/1,241.27
  6. Step 6: Final answer
    x = 692.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.